Question

3

Nora scored three-quarters of the maximum points on a video game level. She scored a total
of 105 points. Let the variable m stand for the maximum number of points possible.
(a) Use the tape diagram below to determine the maximum number of points possible.
(b) Now, find the maximum, m, two different ways using algebra by solving each of the
following equations. Show the work you use to solve the equations.
(1)
m=105
(ii)
105 3
m 4
5. Shaun is painting a fence. After finishing three-eighths of the length of the fence he finds that
he has painted 15 feet. Let / be the total length of the fence, set up an equation like one of
those in 4(b) and solve to find f. Use either of the two methods.

Answer 1

105 times 4/3 equals 140

Explanation:

Nora specifically states that she scored three quarters of the max points in the video game level.

use the reciprocal of 3/4 and multiply it by 105

105 times 4/3 equals 140 which represents the maximum amount of points